I believe you forgot to multiple zero
If you add all the numbers .. you will get zero .. cuz every number has a negetive number ..
Is that why zero is the Identity of group under addition ?
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And if you multiply all the numbers , you get 1 .. cuz every number has an inverse .. like 2 has 1/2 ..
Is that why number syatem is a field ? Cuz it satisfies both operations - addition as well as multiplication !
I might be hallucinating :-)
Discussion
Multiply all the non zero number :-)